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Finding the Third Proportional to 92,045 and 198,589

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Solution

The third proportional to 92,045 and 198,589 is: 428,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045 : 198,589 = 198,589 : x
  2. Step 2: Convert to fraction form
    92,045/198,589 = 198,589/x
  3. Step 3: Cross multiply
    92,045x = 198,589 × 198,589
  4. Step 4: Simplify right side
    92,045x = 39,437,590,921
  5. Step 5: Solve for x
    x = 39,437,590,921/92,045
  6. Step 6: Final answer
    x = 428,459.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.